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Finding the Fourth Proportional to 122,462.61, 183,763.88 and 47,573.01

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Solution

The fourth proportional to 122,462.61, 183,763.88 and 47,573.01 is: 71,386.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,462.61 : 183,763.88 = 47,573.01 : x
  2. Step 2: Convert to fraction form
    122,462.61/183,763.88 = 47,573.01/x
  3. Step 3: Cross multiply
    122,462.61x = 183,763.88 × 47,573.01
  4. Step 4: Simplify right side
    122,462.61x = 8,742,200,900.88
  5. Step 5: Solve for x
    x = 8,742,200,900.88/122,462.61
  6. Step 6: Final answer
    x = 71,386.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.